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Finding the Fourth Proportional to 11,364.40, 17,045.08 and 4,438

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Solution

The fourth proportional to 11,364.40, 17,045.08 and 4,438 is: 6,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.40 : 17,045.08 = 4,438 : x
  2. Step 2: Convert to fraction form
    11,364.40/17,045.08 = 4,438/x
  3. Step 3: Cross multiply
    11,364.40x = 17,045.08 × 4,438
  4. Step 4: Simplify right side
    11,364.40x = 75,646,065.04
  5. Step 5: Solve for x
    x = 75,646,065.04/11,364.40
  6. Step 6: Final answer
    x = 6,656.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.